Table 13 Correctly Predicted-Accepted (CPA) and Incorrectly Predicted-Rejected (IPR) under FGSM and PGD adversarial attacks across uncertainty measures.
Dataset | Uncertainty Measure | CPA | IPR |
|---|---|---|---|
FGSM \(\epsilon =0.01\) | Total Fisher Information | 97.30 | 2.63 |
| Â | Fisher Frobenius Norm | 97.32 | 2.77 |
| Â | Fisher Entropy | 97.62 | 9.59 |
| Â | Gaussian Process | 94.80 | 50.84 |
| Â | Entropy of Expected | 100.00 | 46.86 |
| Â | Knowledge Uncertainty | 100.00 | 41.98 |
| Â | Combined Uncertainty | 91.70 | 42.94 |
FGSM \(\epsilon =0.03\) | Total Fisher Information | 95.02 | 3.73 |
| Â | Fisher Frobenius Norm | 95.11 | 3.74 |
| Â | Fisher Entropy | 95.54 | 9.00 |
| Â | Gaussian Process | 92.92 | 67.07 |
| Â | Entropy of Expected | 100.00 | 46.15 |
| Â | Knowledge Uncertainty | 100.00 | 46.01 |
| Â | Combined Uncertainty | 91.84 | 52.97 |
FGSM \(\epsilon =0.05\) | Total Fisher Information | 93.81 | 3.33 |
| Â | Fisher Frobenius Norm | 93.96 | 3.31 |
| Â | Fisher Entropy | 95.48 | 4.95 |
| Â | Gaussian Process | 91.34 | 65.08 |
| Â | Entropy of Expected | 100.00 | 48.99 |
| Â | Knowledge Uncertainty | 100.00 | 51.29 |
| Â | Combined Uncertainty | 91.78 | 50.68 |
PGD \(\epsilon =0.01\) | Total Fisher Information | 0.00 | 100.00 |
| Â | Fisher Frobenius Norm | 0.00 | 100.00 |
| Â | Fisher Entropy | 100.00 | 0.02 |
| Â | Gaussian Process | 69.96 | 99.73 |
| Â | Entropy of Expected | 100.00 | 27.79 |
| Â | Knowledge Uncertainty | 100.00 | 24.50 |
| Â | Combined Uncertainty | 93.74 | 74.72 |
PGD \(\epsilon =0.03\) | Total Fisher Information | 0.00 | 100.00 |
| Â | Fisher Frobenius Norm | 0.00 | 100.00 |
| Â | Fisher Entropy | 0.00 | 100.00 |
| Â | Gaussian Process | 78.21 | 100.00 |
| Â | Entropy of Expected | 100.00 | 28.31 |
| Â | Knowledge Uncertainty | 100.00 | 24.75 |
| Â | Combined Uncertainty | 92.74 | 73.10 |
PGD \(\epsilon =0.05\) | Total Fisher Information | 0.00 | 100.00 |
| Â | Fisher Frobenius Norm | 0.00 | 100.00 |
| Â | Fisher Entropy | 99.98 | 0.00 |
| Â | Gaussian Process | 77.97 | 100.00 |
| Â | Entropy of Expected | 100.00 | 28.46 |
| Â | Knowledge Uncertainty | 100.00 | 25.05 |
| Â | Combined Uncertainty | 91.23 | 74.03 |